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Finding the Fourth Proportional to 1,446.78, 1,995.39 and 922.62

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Solution

The fourth proportional to 1,446.78, 1,995.39 and 922.62 is: 1,272.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,446.78 : 1,995.39 = 922.62 : x
  2. Step 2: Convert to fraction form
    1,446.78/1,995.39 = 922.62/x
  3. Step 3: Cross multiply
    1,446.78x = 1,995.39 × 922.62
  4. Step 4: Simplify right side
    1,446.78x = 1,840,986.72
  5. Step 5: Solve for x
    x = 1,840,986.72/1,446.78
  6. Step 6: Final answer
    x = 1,272.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.